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Finding the Fourth Proportional to 458,701.20, 688,051.80 and 364,222.80

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Solution

The fourth proportional to 458,701.20, 688,051.80 and 364,222.80 is: 546,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,701.20 : 688,051.80 = 364,222.80 : x
  2. Step 2: Convert to fraction form
    458,701.20/688,051.80 = 364,222.80/x
  3. Step 3: Cross multiply
    458,701.20x = 688,051.80 × 364,222.80
  4. Step 4: Simplify right side
    458,701.20x = 250,604,153,141.04
  5. Step 5: Solve for x
    x = 250,604,153,141.04/458,701.20
  6. Step 6: Final answer
    x = 546,334.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.